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Finding the Fourth Proportional to 9,582.36, 14,373.76 and 2,656.92

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Solution

The fourth proportional to 9,582.36, 14,373.76 and 2,656.92 is: 3,985.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,582.36 : 14,373.76 = 2,656.92 : x
  2. Step 2: Convert to fraction form
    9,582.36/14,373.76 = 2,656.92/x
  3. Step 3: Cross multiply
    9,582.36x = 14,373.76 × 2,656.92
  4. Step 4: Simplify right side
    9,582.36x = 38,189,930.42
  5. Step 5: Solve for x
    x = 38,189,930.42/9,582.36
  6. Step 6: Final answer
    x = 3,985.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.